Information on Result #1209928
Digital (68, 76, 2097155)-net over F4, using (u, u+v)-construction based on
- digital (0, 4, 5)-net over F4, using
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 0 and N(F) ≥ 5, using
- the rational function field F4(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- digital (64, 72, 2097150)-net over F4, using
- net defined by OOA [i] based on linear OOA(472, 2097150, F4, 8, 8) (dual of [(2097150, 8), 16777128, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(472, 8388600, F4, 8) (dual of [8388600, 8388528, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(472, 8388600, F4, 8) (dual of [8388600, 8388528, 9]-code), using
- net defined by OOA [i] based on linear OOA(472, 2097150, F4, 8, 8) (dual of [(2097150, 8), 16777128, 9]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (243, 259, 5242880)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (244, 260, 6291455)-net over F4 | [i] | ||